How Does Cooling Affect Pressure in a Sealed Water Container?

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SUMMARY

The discussion focuses on determining the final pressure of 1kg of water in a rigid container after cooling from 2MPa to 40°C. The initial specific volume at 2MPa is crucial for understanding the final state, which will consist of a mixture of liquid water and water vapor. The final pressure can be derived using steam table properties, as the system reaches saturation at the lower temperature. The key takeaway is that the specific volume must be consistent between the initial and final states to accurately calculate the final pressure.

PREREQUISITES
  • Understanding of steam table properties
  • Knowledge of specific volume in thermodynamics
  • Familiarity with pressure-temperature relationships in phase changes
  • Basic principles of rigid container behavior under thermal changes
NEXT STEPS
  • Research steam table properties for water at various temperatures and pressures
  • Learn about phase equilibrium and saturation conditions in thermodynamics
  • Study the concept of specific volume and its application in thermodynamic calculations
  • Explore the effects of temperature changes on pressure in closed systems
USEFUL FOR

This discussion is beneficial for students in thermodynamics, engineers working with fluid systems, and anyone involved in pressure and temperature analysis of sealed containers.

physea
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Homework Statement


1kg of water fills 151.1L of rigid container at pressure 2MPa. Then the container is cooled to 40C. What is the final pressure?

Homework Equations


Steam table properties.

The Attempt at a Solution


How can we know the pressure?
I think it is wrong to assume that the specific volume at 40C is the same with the specific volume at 2MPa. Any hint?
 
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physea said:

Homework Statement


1kg of water fills 151.1L of rigid container at pressure 2MPa. Then the container is cooled to 40C. What is the final pressure?

Homework Equations


Steam table properties.

The Attempt at a Solution


How can we know the pressure?
I think it is wrong to assume that the specific volume at 40C is the same with the specific volume at 2MPa. Any hint?
What is the specific volume of the water in the initial state? Here's a hint: In the final state, you will have a combination of liquid water and water vapor, having the same average specific volume as in the initial state. The final pressure should be easy to get, because the system will be saturated.
 

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